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Finding the Fourth Proportional to 107,714.80, 161,507.40 and 55,226.80

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Solution

The fourth proportional to 107,714.80, 161,507.40 and 55,226.80 is: 82,806.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,714.80 : 161,507.40 = 55,226.80 : x
  2. Step 2: Convert to fraction form
    107,714.80/161,507.40 = 55,226.80/x
  3. Step 3: Cross multiply
    107,714.80x = 161,507.40 × 55,226.80
  4. Step 4: Simplify right side
    107,714.80x = 8,919,536,878.32
  5. Step 5: Solve for x
    x = 8,919,536,878.32/107,714.80
  6. Step 6: Final answer
    x = 82,806.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.